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Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.

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A new phase-field lattice Boltzmann (LB) model simplifies axisymmetric multiphase flow simulations. This model accurately captures interfaces and flow dynamics, validated by extensive numerical experiments.

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Area of Science:

  • Computational Fluid Dynamics
  • Multiphase Flow Modeling
  • Phase-Field Methods

Background:

  • Lattice Boltzmann (LB) methods are effective for simulating fluid dynamics.
  • Axisymmetric multiphase flows present unique modeling challenges.
  • Existing LB models for axisymmetric flows can be complex.

Purpose of the Study:

  • To develop a simplified phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.
  • To accurately describe multiphase flow behavior in an axisymmetric coordinate system.
  • To overcome limitations of previous axisymmetric LB multiphase models.

Main Methods:

  • Incorporation of modified equilibrium distribution functions into LB evolution equations.
  • Addition of simplified source terms accounting for axisymmetric effects.
  • Chapman-Enskog analysis to derive governing equations (axisymmetric Cahn-Hilliard and Navier-Stokes).

Main Results:

  • The proposed model successfully describes multiphase flows in axisymmetric coordinates.
  • Numerical experiments demonstrate accurate interface capturing.
  • Results align well with analytical solutions and experimental data for various flow scenarios.

Conclusions:

  • The developed LB model offers a simpler and effective approach for axisymmetric multiphase flows.
  • The model's accuracy is validated across diverse numerical simulations.
  • This work provides a robust tool for studying complex multiphase phenomena.